21412131100 has 72 divisors (see below), whose sum is σ = 47640700800. Its totient is φ = 8348390400.

The previous prime is 21412131077. The next prime is 21412131101. The reversal of 21412131100 is 113121412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21412131101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7210416 + ... + 7213384.

It is an arithmetic number, because the mean of its divisors is an integer number (661676400).

Almost surely, 2^21412131100 is an apocalyptic number.

21412131100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21412131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23820350400).

21412131100 is an abundant number, since it is smaller than the sum of its proper divisors (26228569700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21412131100 is a wasteful number, since it uses less digits than its factorization.

21412131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4783 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 21412131100 its reverse (113121412), we get a palindrome (21525252512).

The spelling of 21412131100 in words is "twenty-one billion, four hundred twelve million, one hundred thirty-one thousand, one hundred".